Three nontrivial solutions for nonlinear fractional Laplacian equations

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DÜZGÜN F. G., IANNIZZOTTO A.

ADVANCES IN NONLINEAR ANALYSIS, cilt.7, sa.2, ss.211-226, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1515/anona-2016-0090
  • Dergi Adı: ADVANCES IN NONLINEAR ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.211-226
  • Hacettepe Üniversitesi Adresli: Evet

Özet

We study a Dirichlet-type boundary value problem for a pseudodifferential equation driven by the fractional Laplacian, proving the existence of three non-zero solutions. When the reaction term is sublinear at infinity, we apply the second deformation theorem and spectral theory. When the reaction term is superlinear at infinity, we apply the mountain pass theorem and Morse theory.